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» The Complexity of the Annihilating Polynomial
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CVPR
1998
IEEE
15 years 11 months ago
A New Complex Basis for Implicit Polynomial Curves and its Simple Exploitation for Pose Estimation and Invariant Recognition
New representations are developed for 2D IP (implicit polynomial) curves ofarbitrary degree. These representations permit shape recognition and pose estimation with essentially sin...
David B. Cooper, Jean-Philippe Tarel
LPAR
2010
Springer
14 years 7 months ago
Revisiting Matrix Interpretations for Polynomial Derivational Complexity of Term Rewriting
Matrix interpretations can be used to bound the derivational complexity of term rewrite systems. In particular, triangular matrix interpretations over the natural numbers are known...
Friedrich Neurauter, Harald Zankl, Aart Middeldorp
COCO
2009
Springer
117views Algorithms» more  COCO 2009»
15 years 4 months ago
The Proof Complexity of Polynomial Identities
Devising an efficient deterministic – or even a nondeterministic sub-exponential time – algorithm for testing polynomial identities is a fundamental problem in algebraic comp...
Pavel Hrubes, Iddo Tzameret
COCO
2007
Springer
106views Algorithms» more  COCO 2007»
15 years 4 months ago
The Complexity of Polynomials and Their Coefficient Functions
We study the link between the complexity of a polynomial and that of its coefficient functions. Valiant’s theory is a good setting for this, and we start by generalizing one of V...
Guillaume Malod
JMLR
2006
118views more  JMLR 2006»
14 years 10 months ago
Learning Factor Graphs in Polynomial Time and Sample Complexity
We study the computational and sample complexity of parameter and structure learning in graphical models. Our main result shows that the class of factor graphs with bounded degree...
Pieter Abbeel, Daphne Koller, Andrew Y. Ng